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Ann [662]
3 years ago
11

Solve the inequality. 9(2 − x) − 4(2 − 3x) > 9

Mathematics
2 answers:
e-lub [12.9K]3 years ago
4 0

Remove both sets of brackets.

18 - 9x - 8 + 12x > 9 Collect like terms on the left.

12x - 9x + 18 - 8 > 9

3x + 10 > 9 Subtract 10 from both sides.

3x > 9 - 10

3x > - 1 divide by 3

x > -1/3

Notice what the graph is telling you. A blue dotted line is going through x = - 1/3 or - 0.3333

Everything to the right of - 0.333 is colored blue and that means anything to the right if going to be a solution to the inequality. To confirm this for yourself, try zero and 1. Both should give larger than 9 solutions.

vredina [299]3 years ago
3 0
Answer would be x>-1/3 hope this helps

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The picture shows a circular clock face.
marysya [2.9K]

Answer:

[C] 25π square inches

Step-by-step explanation:

<u><em>Given that:</em></u>

<em>the long hand of the clock is about 5 inches long.</em>

<u><em>To Find:</em></u>

<em>What is the approximate area of the clock face?</em>

<u><em>Solve:</em></u>

<em>Formula - </em><em>A =πr²</em>

<em>Note that;</em>

<em>π = 3.14 (about)</em>

<em>Radius - 5 inches</em>

<em>A =πr²</em>

<em>A = 3.14(5)²</em>

<em>A = 3.14(25)</em>

<em>A = 78.5</em>

<em>Now let see the answer choices:</em>

<em>A.  5π square inches                     ≈   5(3.14) = 15.7</em>

<em>B. 10 π square inches                    ≈  10(3.14) = 31.4</em>

<em>C. 25 π square inches                    ≈  25(3.14) = 78.5</em>

<em>D. 100 π square inches                    ≈ 100(3.14) = 314</em>

<em />

<em>Hence, the answer is [C] 25 π square inches </em>

<em />

<u><em>Kavinsky~</em></u>

6 0
2 years ago
Read 2 more answers
If f(x) = 6x − 5 and f(5a) = 73, then what is the value of a?
Dmitrij [34]

Answer:

a =13/5

Step-by-step explanation:

f(x) = 6x − 5

f(5a) = 6*5a − 5=73

       30a -5 = 73

Add 5 to each side

    30a -5+5 = 73+5

      30a =78

Divide  by 30

30a/30 = 78/30

a =13/5

4 0
3 years ago
Read 2 more answers
You are attempting to make a scale drawing of your room. The actual size of your room is 12 feet
olga2289 [7]

Answer:

width = 8 inches

length = 10 inches

Step-by-step explanation:

width= 12/1.5

= 8

length = 15/1.5

= 10

6 0
3 years ago
In a volatile housing market, the overall value of a home can be modeled by V(x) = 210x2 – 4400x + 125000, where V represents th
Grace [21]

Answer:

I think a picture can explain better than me!

Step-by-step explanation:

Have a good day.

7 0
2 years ago
Trevor and marissa together have 26 t-shirts to sell. If marissa has 6 fewer tshirts that trevor, find hiw many tshirts trevor h
Eva8 [605]

Answer:

Number of t-shirts Trevor have are 16

If Trevor have 16 t-shirts, than Marissa will have 10 t-shirts.

Step-by-step explanation:

Let, the number of t-shirts Trevor has = x and number of t-shirts Marissa has = y.

Since, they both have total of 26 t-shirts. We get,

x+y=26

Moreover, Marissa has 6 t-shirts less than that of Trevor.

So, we have,

y=x-6

On solving the system of equations, we get,

x+y=26 implies x+x-6=26 implies 2x=26+6 i.e. 2x= 32 i.e. x= 16.

So, y=x-6 implies y=16-6 i.e y= 10.

Hence, the number of t-shirts Trevor and Marissa have are 16 and 10 respectively.

That is, If Trevor have 16 t-shirts, than Marissa will have 10 t-shirts.

8 0
3 years ago
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